Vortex solitons: Old results and new perspectives

BA Malomed - Physica D: Nonlinear Phenomena, 2019 - Elsevier
A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

Multidimensional solitons: Well-established results and novel findings

BA Malomed - The European Physical Journal Special Topics, 2016 - Springer
A brief review is given of some well-known and some very recent results obtained in studies
of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) …

Creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space

H Sakaguchi, B Li, BA Malomed - Physical Review E, 2014 - APS
It is commonly known that two-dimensional mean-field models of optical and matter waves
with cubic self-attraction cannot produce stable solitons in free space because of the …

Stable solitons in three dimensional free space without the ground state: self-trapped Bose-Einstein condensates with spin-orbit coupling

YC Zhang, ZW Zhou, BA Malomed, H Pu - Physical Review Letters, 2015 - APS
By means of variational methods and systematic numerical analysis, we demonstrate the
existence of metastable solitons in three dimensional (3D) free space, in the context of …

Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: Effects of the Rashba-Dresselhaus coupling and Zeeman splitting

H Sakaguchi, EY Sherman, BA Malomed - Physical Review E, 2016 - APS
We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the
pseudospinor system of Gross-Pitaevskii equations with self-and cross attraction, which …

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

L Salasnich, WB Cardoso, BA Malomed - Physical Review A, 2014 - APS
We consider a two-component pancake-shaped, ie, effectively two-dimensional (2D), Bose-
Einstein condensate coupled by the spin-orbit (SO) and Rabi terms. The SO coupling …

Vortex-bright solitons in a spin-orbit-coupled spin-1 condensate

S Gautam, SK Adhikari - Physical Review A, 2017 - APS
We study the vortex-bright solitons in a quasi-two-dimensional spin-orbit-coupled (SO-
coupled) hyperfine spin-1 three-component Bose-Einstein condensate using variational …

Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling

X Jiang, Z Fan, Z Chen, W Pang, Y Li, BA Malomed - Physical Review A, 2016 - APS
We report families of two-dimensional (2D) composite solitons in spinor dipolar Bose-
Einstein condensates, with two localized components linearly mixed by the spin-orbit …

Gap solitons in spin-orbit-coupled Bose-Einstein condensates in optical lattices

Y Zhang, Y Xu, T Busch - Physical Review A, 2015 - APS
While different ways to realize spin-orbit coupling in Bose-Einstein condensates exist, not all
are currently experimentally implementable. Here we present a detailed study of gap …

Three-dimensional vortex-bright solitons in a spin-orbit-coupled spin-1 condensate

S Gautam, SK Adhikari - Physical Review A, 2018 - APS
We demonstrate stable and metastable vortex-bright solitons in a three-dimensional spin-
orbit-coupled three-component hyperfine spin-1 Bose-Einstein condensate (BEC) using …